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A map is drawn to a scale of 120 cm to 1 km. How many square cm on the map will represent a hectare of ground?

Last updated date: 21st Jun 2024
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Hint: The map scale is referring to the relationship or we may say the ratio between the distance on a map and the corresponding distance on real ground. So, we have to compute the area of the portion on the map. Then further it will be converted on real ground. Also, we have to convert the unit in hectares to the unit in a square meter.

Therefore, it means if we consider the area of a portion, then corresponding conversion will be needed as follows: $1000m \times 1000m$ area will be represented by $120cm \times 120cm$( we consider shape as square).
$\therefore$1 square meter will be represented on the map by,
$\dfrac{{14400}}{{1000000}}$square cm
$\therefore$10000 square meter will be represented on the map by,
$\dfrac{{14400}}{{1000000}} \times 10000 \\ = 144 \\$(we have to multiply by 10000)